Nonsmooth vector functions and continuous optimization
著者
書誌事項
Nonsmooth vector functions and continuous optimization
(Springer optimization and its applications, v. 10)
Springer, c2008
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内容説明・目次
内容説明
Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems, as well as variational inequalities in finite dimensions. The treatment is motivated by a desire to expose an elementary approach to nonsmooth calculus, using a set of matrices to replace the nonexistent Jacobian matrix of a continuous vector function.
目次
Pseudo-Jacobian Matrices.- Calculus Rules for Pseudo-Jacobians.- Openness of Continuous Vector Functions.- Nonsmooth Mathematical Programming Problems.- Monotone Operators and Nonsmooth Variational Inequalities.
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